Geometry Unit 3 Jeopardy Find Missing Angles Find Missing Sides Real-World Problems Angle of Elevation/ Depression Wild Card $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

Find Missing Angles - $100 Find the measure of the angle indicated. Round to the nearest tenth. a = 44.4°

Find Missing Angles - $200 Find the measure of the angle indicated. Round to the nearest tenth. 51.3°

Find Missing Angles - $300 Find the measure of the angle indicated. Round to the nearest tenth. 51.3°

Find Missing Angles - $400 A ramp has a length of 30 m and a vertical height of 9 m. At what angle does the ramp meet the ground? Round to the nearest tenth. 17.5°

Find Missing Angles - $500 A pair of dividers is shown. The distance from the nut N to the point of the dividers P is 9 cm and the vertical height of the point M above the line NP is 4.5 cm. What is the size of the angle x between the arms of the dividers? IMPORTANT: 9 cm is the distance to point P, not point O. We don’t know the distance NO, but we do know the distance NM because a divider’s arms have equal lengths 30°

Find Missing Sides - $100 Find the measure of the side indicated. Round to the nearest tenth. 12.9

Find Missing Sides - $200 Find the measure of the side indicated. Round to the nearest tenth. 13.8

Find Missing Sides - $300 Find the measure of the side indicated. Round to the nearest tenth. 4.6

Find Missing Sides - $400 An airplane climbs at an angle of 11° with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 ft. Round to the nearest tenth of a foot. 2057.8 ft

Find Missing Sides - $500 Find the altitude of an isosceles triangle with a base of 4.24 ft. The vertex angle of the triangle measures 85°. Round to the nearest tenth. 2.3 ft

Real-World Problems - $100 A 12-foot ladder is leaning against a building at a 75° angle with the ground. Which equation can be used to find how high the ladder reaches up the side of the building? D

Real-World Problems - $200 A doctor is using a treadmill to assess the strength of a patient’s heart. He sets the 48 inch long treadmill at an incline of 10°, how high is the end of the treadmill raised? Round to the nearest tenth. 47.3 in

Real-World Problems - $300 The altitude of an equilateral triangle is 5 cm. What is the length of a side of the triangle? Round to the nearest tenth. 5.8 cm

Real-World Problems - $400 A light post, shown at the right, is set in concrete and supported with a guy wire while the concrete dries. The length of the guy wire is 10 feet and the ground state is 4 feet from the bottom of the light post. What equation could be used to find the height of the light post, x, from the ground to the top of the light post?

Real-World Problems - $500 A balloon is tethered on horizontal ground by a 12 m long rope. Initially the rope is vertical, but the balloon is then carried by the wind a horizontal distance of 10 m towards the east. What is the size of the angle θ between the rope’s original and final positions? 56.4°

Angle of Elevation/Depression - $100 A hot air balloon is 1,200 feet above the ground. The angle of depression from the basket of the hot air balloon to the base of a monument is 54°. What equation can be used to find the distance, d, in feet, from the basket of the hot air balloon to the base of the monument?

Angle of Elevation/Depression - $200 A ship is at position A on the sea surface and locates a wreck, C, on the seabed 321 m vertically below. The ship then steams 525 m due west until it reaches position B. From its new position at B, what is the size of the angle of depression from B to the wreck C? Round to the nearest tenth. 31.4°

Angle of Elevation/Depression - $300 The diagram shows a vertical tree of height 22ft. From the point A (on level ground) the horizontal distance to the base B of the tree is 30 ft. What is the angle of elevation from A to the top of the tree C? 36.3°

Angle of Elevation/Depression - $400 A 96 foot tree casts a shadow that is 120 feet long. What is the angle of elevation of the sun? Round to the nearest tenth. 38.7°

Angle of Elevation/Depression - $500 The angle of elevation to the top of the Empire State Building in New York is 11° from a point on the ground 1 mile from the base of the building. Find the height of the Empire State Building to the nearest tenth of a foot. 1026.3 ft

Wild Card - $100 In right triangle ABC, angle A and angle B are complementary angles. The value of . What is the value of sin B? Answer: A

Wild Card - $200 Triangle ABC is given below. What is the value of cos A?

Wild Card - $300 The side of a square measures 6 cm. What is the exact length of the diagonal of the square?

Wild Card - $400 In right triangle HJK, is a right angle and . Which statement about triangle HJK must be true? C

Wild Card - $500 A right triangle is shown at the right. Find the value of x. 8

Final Jeopardy A pole is attached to the ground by two guy wires. The wires stake to the ground 20 feet away from the pole and make an angle of 58° with the ground. How much wire is needed to support the pole? Round to the nearest tenth of a foot. 75.4 ft Two guy wires…take 37.7 times 2. If students do not round until the end they may get an answer of 75.5 ft.